1161057110400 has 1152 divisors, whose sum is σ = 4723572672000. Its totient is φ = 279272448000.

The previous prime is 1161057110347. The next prime is 1161057110419. The reversal of 1161057110400 is 40117501611.

1161057110400 is a `hidden beast` number, since 1 + 1 + 610 + 5 + 7 + 1 + 1 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1161057110400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1274485945 + ... + 1274486855.

It is an arithmetic number, because the mean of its divisors is an integer number (4100323500).

Almost surely, 2^{1161057110400} is an apocalyptic number.

1161057110400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1161057110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361786336000).

1161057110400 is an abundant number, since it is smaller than the sum of its proper divisors (3562515561600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1161057110400 is a wasteful number, since it uses less digits than its factorization.

1161057110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

The spelling of 1161057110400 in words is "one trillion, one hundred sixty-one billion, fifty-seven million, one hundred ten thousand, four hundred".